Exponential Decay of Correlations in the 2D Random Field Ising Model

被引：0

作者：

Michael Aizenman

Matan Harel

Ron Peled

机构：

[1] Princeton University,Departments of Mathematics and Physics

[2] Weizmann Institute of Science,School of Mathematical Sciences

[3] Tel Aviv University,undefined

来源：

Journal of Statistical Physics | 2020年 / 180卷

关键词：

Random field Ising model; Quenched disorder; 2D; Disagreement percolation; Exponential decay; Anti-concentration bounds;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the recent analyses of the decay of correlations to positive temperatures, at homogeneous but arbitrarily weak disorder.

引用

页码：304 / 331

页数：27

共 30 条

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